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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Relay ARQ Strategies for Single Carrier MIMO Broadband Amplify-and-Forward Cooperative Transmission Zakaria El-Moutaouakkil Nokia

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SLIDE 1

Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works

Relay ARQ Strategies for Single Carrier MIMO Broadband Amplify-and-Forward Cooperative Transmission

Zakaria El-Moutaouakkil Nokia Siemens Networks, Morocco This work is co-authored with Tarik Ait-Idir (INPT, Morocco/Telecom Bretagne, France) Halim Yanikomeroglu (Carleton University, Canada) Samir Saoudi (Telecom Bretagne, France) IEEE Symposium on Personal Indoor and Mobile Radio Communications 29th September 2010

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (1)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works

Outline

1

Relay ARQ System

2

Information-Theoretic Analysis

3

Simulation Results

4

Conclusion and Perspectives

5

Related Works

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (2)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Brief Description of the Concept Relay ARQ Protocol Relay ARQ with Slot Mapping Reversal Sub-Packets ARQ Transmission Model

Brief Description of the Concept

Source Relay Destination ND NR NS

ARQ 1 2 3

  • Fig. 1: Relay ARQ System Model

Channel 1, channel 2, and channel 3 are regarded at kth transmission as a frequency selective fading MIMO channels having LSR, LRD, and LSD independent paths, respectively. Each path is characterized by its quasi-static flat fading MIMO channel matrix HAB(k)

l

∈ CNA×NB for l ∈ {0, . . . , LAB − 1} where A ∈ {S, R} and B ∈ {R, D}. Relaying works under the framework of half-duplex amplify-and-forward protocol. Packet re-transmissions follows the Chase-type ARQ mechanism. Each Packet transmission k within a maximum of K ARQ rounds spans two consecutive time slots (TS)s.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (3)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Brief Description of the Concept Relay ARQ Protocol Relay ARQ with Slot Mapping Reversal Sub-Packets ARQ Transmission Model

Brief Description of the Concept

Source Relay Destination ND NR NS

ARQ 1 2 3

  • Fig. 1: Relay ARQ System Model

Channel 1, channel 2, and channel 3 are regarded at kth transmission as a frequency selective fading MIMO channels having LSR, LRD, and LSD independent paths, respectively. Each path is characterized by its quasi-static flat fading MIMO channel matrix HAB(k)

l

∈ CNA×NB for l ∈ {0, . . . , LAB − 1} where A ∈ {S, R} and B ∈ {R, D}. Relaying works under the framework of half-duplex amplify-and-forward protocol. Packet re-transmissions follows the Chase-type ARQ mechanism. Each Packet transmission k within a maximum of K ARQ rounds spans two consecutive time slots (TS)s.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (3)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Brief Description of the Concept Relay ARQ Protocol Relay ARQ with Slot Mapping Reversal Sub-Packets ARQ Transmission Model

Brief Description of the Concept

Source Relay Destination ND NR NS

ARQ 1 2 3

  • Fig. 1: Relay ARQ System Model

Channel 1, channel 2, and channel 3 are regarded at kth transmission as a frequency selective fading MIMO channels having LSR, LRD, and LSD independent paths, respectively. Each path is characterized by its quasi-static flat fading MIMO channel matrix HAB(k)

l

∈ CNA×NB for l ∈ {0, . . . , LAB − 1} where A ∈ {S, R} and B ∈ {R, D}. Relaying works under the framework of half-duplex amplify-and-forward protocol. Packet re-transmissions follows the Chase-type ARQ mechanism. Each Packet transmission k within a maximum of K ARQ rounds spans two consecutive time slots (TS)s.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (3)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Brief Description of the Concept Relay ARQ Protocol Relay ARQ with Slot Mapping Reversal Sub-Packets ARQ Transmission Model

Brief Description of the Concept

Source Relay Destination ND NR NS

ARQ 1 2 3

  • Fig. 1: Relay ARQ System Model

Channel 1, channel 2, and channel 3 are regarded at kth transmission as a frequency selective fading MIMO channels having LSR, LRD, and LSD independent paths, respectively. Each path is characterized by its quasi-static flat fading MIMO channel matrix HAB(k)

l

∈ CNA×NB for l ∈ {0, . . . , LAB − 1} where A ∈ {S, R} and B ∈ {R, D}. Relaying works under the framework of half-duplex amplify-and-forward protocol. Packet re-transmissions follows the Chase-type ARQ mechanism. Each Packet transmission k within a maximum of K ARQ rounds spans two consecutive time slots (TS)s.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (3)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Brief Description of the Concept Relay ARQ Protocol Relay ARQ with Slot Mapping Reversal Sub-Packets ARQ Transmission Model

Brief Description of the Concept

Source Relay Destination ND NR NS

ARQ 1 2 3

  • Fig. 1: Relay ARQ System Model

Channel 1, channel 2, and channel 3 are regarded at kth transmission as a frequency selective fading MIMO channels having LSR, LRD, and LSD independent paths, respectively. Each path is characterized by its quasi-static flat fading MIMO channel matrix HAB(k)

l

∈ CNA×NB for l ∈ {0, . . . , LAB − 1} where A ∈ {S, R} and B ∈ {R, D}. Relaying works under the framework of half-duplex amplify-and-forward protocol. Packet re-transmissions follows the Chase-type ARQ mechanism. Each Packet transmission k within a maximum of K ARQ rounds spans two consecutive time slots (TS)s.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (3)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Brief Description of the Concept Relay ARQ Protocol Relay ARQ with Slot Mapping Reversal Sub-Packets ARQ Transmission Model

Brief Description of the Concept

  • Fig. 2: Source node transmitter scheme.

Splitting Rule

Upon the 1st transmission, node S generates according to an STBICM encoder the symbol packet x [x0, . . . , xT −1] ∈ CNS ×T . (1) The symbol vectors xt′ ∈ X NS ×1 for t′ = 0, · · · , T − 1 are chosen to have equally powered entries, hence satisfying E[xt′ xH

t′′ ] = δt′ ,t′′ INS .

It is then splitted into two equally sized NS × T

2 sub-packets z1 and z2 constructed as

  • z1,t = x2t

, 0 ≤ t ≤ T

2 − 1

z2,t = x2t+1 , 0 ≤ t ≤ T

2 − 1 .

(2)

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (4)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Brief Description of the Concept Relay ARQ Protocol Relay ARQ with Slot Mapping Reversal Sub-Packets ARQ Transmission Model

Brief Description of the Concept

  • Fig. 2: Source node transmitter scheme.

Splitting Rule

Upon the 1st transmission, node S generates according to an STBICM encoder the symbol packet x [x0, . . . , xT −1] ∈ CNS ×T . (1) The symbol vectors xt′ ∈ X NS ×1 for t′ = 0, · · · , T − 1 are chosen to have equally powered entries, hence satisfying E[xt′ xH

t′′ ] = δt′ ,t′′ INS .

It is then splitted into two equally sized NS × T

2 sub-packets z1 and z2 constructed as

  • z1,t = x2t

, 0 ≤ t ≤ T

2 − 1

z2,t = x2t+1 , 0 ≤ t ≤ T

2 − 1 .

(2)

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (4)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Brief Description of the Concept Relay ARQ Protocol Relay ARQ with Slot Mapping Reversal Sub-Packets ARQ Transmission Model

Brief Description of the Concept

  • Fig. 2: Source node transmitter scheme.

Splitting Rule

Upon the 1st transmission, node S generates according to an STBICM encoder the symbol packet x [x0, . . . , xT −1] ∈ CNS ×T . (1) The symbol vectors xt′ ∈ X NS ×1 for t′ = 0, · · · , T − 1 are chosen to have equally powered entries, hence satisfying E[xt′ xH

t′′ ] = δt′ ,t′′ INS .

It is then splitted into two equally sized NS × T

2 sub-packets z1 and z2 constructed as

  • z1,t = x2t

, 0 ≤ t ≤ T

2 − 1

z2,t = x2t+1 , 0 ≤ t ≤ T

2 − 1 .

(2)

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (4)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Brief Description of the Concept Relay ARQ Protocol Relay ARQ with Slot Mapping Reversal Sub-Packets ARQ Transmission Model

Relay ARQ Protocol

Transmission Period Reception Period

(S) (R) (D) 1st TS 2ndTS

  • Trans. (k)

(S) (R) (D)

(b) (a)

y

R

(k)

y

R

(k)

Z1 Z2

y

D

1,(k)

y

D

2,(k)

1st TS 2ndTS

  • Trans. (k odd)

y

R

(k)

y

R

(k)

Z1 Z2

y

D

1,(k)

y

D

2,(k)

1st TS 2ndTS

  • Trans. (k even)

y

R

(k)

y

R

(k)

Z2 Z1

y

D

1,(k)

y

D

2,(k)

  • Fig. 3: Relay ARQ Protocol (a), Relay ARQ with Slot-Mapping Reversal (b) for k = 1, . . . , K.

Sub-Packets Slot Mapping is Fixed Fig. 3(a) z1 followed by z2 during the first and the second TS, respectively, for all the ARQ rounds.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (5)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Brief Description of the Concept Relay ARQ Protocol Relay ARQ with Slot Mapping Reversal Sub-Packets ARQ Transmission Model

Relay ARQ with Slot Mapping Reversal

Transmission Period Reception Period

(S) (R) (D) 1st TS 2ndTS

  • Trans. (k)

(S) (R) (D)

(b) (a)

y

R

(k)

y

R

(k)

Z1 Z2

y

D

1,(k)

y

D

2,(k)

1st TS 2ndTS

  • Trans. (k odd)

y

R

(k)

y

R

(k)

Z1 Z2

y

D

1,(k)

y

D

2,(k)

1st TS 2ndTS

  • Trans. (k even)

y

R

(k)

y

R

(k)

Z2 Z1

y

D

1,(k)

y

D

2,(k)

  • Fig. 3: Relay ARQ Protocol (a), Relay ARQ with Slot-Mapping Reversal (b) for k = 1, . . . , K.

Sub-Packets Slot Mapping is Reversed Fig. 3(b) Depending on the transmission index parity, sub-packets z1 and z2 are mapped onto either the first or the second time slot.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (6)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Brief Description of the Concept Relay ARQ Protocol Relay ARQ with Slot Mapping Reversal Sub-Packets ARQ Transmission Model

Sub-Packets ARQ Transmission Model (I)

During the 1st TS of ARQ round k:

y(k)

R,t

=

  • ESR

LSR−1

  • l=0

HSR(k)

l

z1,(t−l)mod T

2

+ n(k)

R,t

(3) y1,(k)

D,t

=

  • ESD

LSD −1

  • l=0

HSD(k)

1,l

z1,(t−l)mod T

2

+ n1,(k)

D,t

(4) ESR and ESD are the energies capturing the effects of path loss and shadowing in channel 1 and 3, respectively. n(k)

B,t ∼ N(0NB×1, N0INB ) for B ∈ {R, D} .

A cyclic prefix (CP) portion of length Lcp = max {LSD, LSR, LRD} is appended to z1 and z2 upon their transmission.

AF function at the Relay node:

  • y(k)

R,t = γy(k) R,t, t = 0, ..., T 2 − 1

γ = 1/√NSESR + N0 (5)

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (7)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Brief Description of the Concept Relay ARQ Protocol Relay ARQ with Slot Mapping Reversal Sub-Packets ARQ Transmission Model

Sub-Packets ARQ Transmission Model (II)

During the 2nd TS of ARQ round k:

y2,(k)

D,t

=

Lmax−1

  • l=0
  • H(k)

l

z(t−l)mod T

2

+ n2,(k)

D,t

(6) where      zt

  • z1,t

z2,t

  • ∈ X 2NS ,

Lmax max(LSD, LSRD), and LSRD = LSR + LRD − 1, (7)

  • H(k)

l

=

  • γ
  • ESRERDHSRD(k)

l

  • ESDHSD(k)

2,l

  • ,
  • n2,(k)

D,t

= γ

  • ERD

LRD −1

  • l=0

HRD(k)

l

n(k)

R,(t−l)mod T 2

+ n2,(k)

D,t .

(8)

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (8)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Brief Description of the Concept Relay ARQ Protocol Relay ARQ with Slot Mapping Reversal Sub-Packets ARQ Transmission Model

Sub-Packets ARQ Transmission Model (III)

At the end of the second slot node D builds up (jointly) the augmented size signal vector yequ(k)

D,t

  • y1,(k)

D,t

  • y2,(k)

D,t

  • =

Lmax−1

  • l=0

Hequ(k)

l

z(t−l)mod T

2

+ nequ(k)

D,t

, (9) in which the k-parity 2ND × 2NS equivalent MIMO channel matrix Hequ(k)

l

has been carefully introduced with the following form            Hequ(k)

l

=

  • A

0ND×NS B C

  • , k odd

Hequ(k)

l

=

  • 0ND×NS

A C B

  • , k even

(10) where, A =

  • ESDHSD(k)

1,l

, (11) B = γ

  • ESRERDL−1HSRD(k)

l

, (12) C =

  • ESDL−1HSD(k)

2,l

. (13)

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (9)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Brief Description of the Concept Relay ARQ Protocol Relay ARQ with Slot Mapping Reversal Sub-Packets ARQ Transmission Model

Sub-Packets ARQ Transmission Model (III)

In a joint manner signal vector yequ(k)

D,t

is grouped with all the previously received signals yequ(k−1)

D,t

, · · · , yequ(1)

D,t

to decode the data packet.

K ARQ rounds Transmission Model

This leads to the 2NDk × 2Ns block transmission model given by       yequ(1)

D,t

. . . yequ(k)

D,t

     

  • yequ,k

D,t

=

Lmax−1

  • l=0

     Hequ(1)

l

. . . Hequ(k)

l

    

  • Hequ,k

l

z(t−l)mod T

2

+       nequ(1)

D,t

. . . nequ(k)

D,t

     

  • nequ,k

D,t

. (14)

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (10)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Outage Probability Average Throughput

Outage Probability

Definition (Pertaining to K=1)

The outage probability at a given signal-to-noise ratio (SNR) ρ, denoted by Pout, refers to the probability half of the information rate I (the factor 1

2 comes from the fact that one channel use

  • f the equivalent received signal model (9) corresponds to two temporal channel uses), between

transmitted block z and received block yequ,1

D

, is below a target rate R,

Pout (ρ, R) = Pr 1 2 I

  • z; yequ,1

D

  • Hequ,1

l

  • , ρ
  • < R
  • (15)

where z =     z1 . . . z T

2

    , and yequ,1

D

=      yequ,1

D,1

. . . yequ,1

D, T

2 −1

     .

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (11)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Outage Probability Average Throughput

Outage Probability

Generalization

To extend the previous formula on our ARQ relay system, we use the renewal theory as well as the

  • bservation that allows us to view the presented Chase-type ARQ mechanism, with a maximum

number of rounds K, as a repetition coding scheme over K parallel sub-virtual channels. Accordingly, given the equivalent MIMO-ARQ channel model (14), (15) can be re-written as Pout (ρ, R) =Pr 1 2K I

  • z; yequ,K

D

  • Hequ,K

l

  • , ρ
  • < R, A1, ..., AK−1
  • ,

where Ak represents the event that a NACK feedback is sent back to the source node S at round k = 1, ..., K − 1.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (12)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Outage Probability Average Throughput

Average Throughput

The average throughput formula corresponding to the transmission over the equivalent Relay ARQ MIMO channel is given by η = E [R] E [ν] . (16) R is a discrete random variable equals either to R when successful packet decoding is detected within the K rounds or 0 otherwise. In an outage sense, these two values are taken with probabilities 1 − Pout (ρ, R) and Pout (ρ, R), respectively. ν is a RV counting the number of rounds consumed to transmit one packet. Thus, the average throughput (16) can be re-expressed as η = Rν (1 − Pout (ρ, R)) (17) where Rν = R/E [ν].

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (13)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Outage Probability Average Throughput

Scenario 1

−4 −3 −2 −1 1 2 3 4 5 6 7 8 9 10 10

−3

10

−2

10

−1

10

SNR(dB) Outage Probability

Relay ARQ with SMR K=2 Relay ARQ K=2 Relay ARQ K=1 Reference Protocol Direct Transmission K=2 Direct Transmission K=1

  • Fig. 4: Outage probability versus SNR for lSR = 0.3, NS = NR = ND = 2, LSR = LRD = LSD = 3, and κ = 3.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (14)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Outage Probability Average Throughput

Scenario 2

−3 −2 −1 1 2 3 4 5 6 7 8 9 10 10

−3

10

−2

10

−1

10

SNR(dB) Outage Probability

Relay ARQ with SMR K=2 Relay ARQ K=2 Relay ARQ K=1 Reference Protocol Direct Transmission K=2 Direct Transmission K=1

  • Fig. 5: Outage probability versus SNR for lSR = 0.7, NS = NR = ND = 2, LSR = LRD = LSD = 3, and κ = 3.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (15)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Outage Probability Average Throughput

Scenario 1

−8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2

SNR(dB) Average Throughput (bit/s/Hz)

Relay ARQ with SMR K=2 Relay ARQ K=2 Relay ARQ K=1 Reference Protocol Direct Transmission K=2 Direct Transmission K=1

  • Fig. 6: Average throughput versus SNR for lSR = 0.3, NS = NR = ND = 2, LSR = LRD = LSD = 3, and κ = 3.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (16)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Outage Probability Average Throughput

Scenario 2

−7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2

SNR(dB) Average Throughput (bit/s/Hz)

Relay ARQ with SMR K=2 Relay ARQ K=2 Relay ARQ K=1 Reference Protocol Direct Transmission K=2 Direct Transmission K=1

  • Fig. 7: Average throughput versus SNR for lSR = 0.7, NS = NR = ND = 2, LSR = LRD = LSD = 3, and κ = 3.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (17)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Conclusion Perspectives

Conclusion

New throughput-efficient relay ARQ techniques are investigated. The half-duplex constraint has been turned from a disadvantage causing a multiplexing gain loss to an advantage providing significant improvement in average throughput & outage probability performance. Relay ARQ with slot mapping reversal provides considerable gain in terms of both outage prob. & average throughput over the entire SNR region.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (18)

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SLIDE 25

Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Conclusion Perspectives

Conclusion

New throughput-efficient relay ARQ techniques are investigated. The half-duplex constraint has been turned from a disadvantage causing a multiplexing gain loss to an advantage providing significant improvement in average throughput & outage probability performance. Relay ARQ with slot mapping reversal provides considerable gain in terms of both outage prob. & average throughput over the entire SNR region.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (18)

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SLIDE 26

Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Conclusion Perspectives

Conclusion

New throughput-efficient relay ARQ techniques are investigated. The half-duplex constraint has been turned from a disadvantage causing a multiplexing gain loss to an advantage providing significant improvement in average throughput & outage probability performance. Relay ARQ with slot mapping reversal provides considerable gain in terms of both outage prob. & average throughput over the entire SNR region.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (18)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Conclusion Perspectives

Perspectives

It is recommended to design practical turbo receivers that can approach the previous theoretical limits. Analytical results of the outage probability and average throughput instead of Monte-Carlo based simulations should be investigated. Extension of the proposed techniques to a multi-user environment where several relays are deployed.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (19)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Conclusion Perspectives

Perspectives

It is recommended to design practical turbo receivers that can approach the previous theoretical limits. Analytical results of the outage probability and average throughput instead of Monte-Carlo based simulations should be investigated. Extension of the proposed techniques to a multi-user environment where several relays are deployed.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (19)

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SLIDE 29

Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Conclusion Perspectives

Perspectives

It is recommended to design practical turbo receivers that can approach the previous theoretical limits. Analytical results of the outage probability and average throughput instead of Monte-Carlo based simulations should be investigated. Extension of the proposed techniques to a multi-user environment where several relays are deployed.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (19)

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Relay ARQ System Information-Theoretic Analysis Simulation Results Conclusion and Perspectives Related Works Related Works

Related Works

Houda Chafnaji, Tarik Ait-Idir, Halim Yanikomeroglu, and Samir Saoudi, “Analysis of Packet Combining for Single Carrier Multi-Relay Broadband Systems,” in Proc., IEEE International Workshop on Signal Processing Advances in Wireless Communications, SPAWC 2010, Marrakech, Morocco, Jun. 2010. Houda Chafnaji, Halim Yanikomeroglu, Tarik Ait-Idir, and Samir Saoudi, “Turbo Packet Combining Techniques for Multi-Relay-Assisted Systems over Multi-Antenna Broadband Channels,” in Proc., ACM International Wireless Communications and Mobile Computing Conference, IWCMC 2010, Caen, France, Jun. 2010. Tarik Ait-Idir, and Samir Saoudi, “Turbo Packet Combining Strategies for the MIMO-ISI ARQ Channel,” IEEE Transactions on Communications, vol. 57, no. 12, pp. 3782-3793,

  • Dec. 2009.

Houda Chafnaji, Tarik Ait-Idir, Halim Yanikomeroglu, and Samir Saoudi, “Joint Turbo Equalization for Relaying Schemes over Frequency-Selective Fading Channels,” in Proc., ACM International Wireless Communications and Mobile Computing Conference, IWCMC 2009, Leipzig, Germany, Jun. 2009.

Zakaria El-Moutaouakkil (NSN, Morocco) Relay ARQ Strategies in the AF Relaying Framework (20)